Critique du rapport signal à bruit en théorie de l'information -- A critical appraisal of the signal to noise ratio in information theory

Michel Fliess

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arXiv · 0712.1875

Critique du rapport signal à bruit en théorie de l'information -- A critical appraisal of the signal to noise ratio in information theory

Michel Fliess

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Abstract

The signal to noise ratio, which plays such an important role in information theory, is shown to become pointless in digital communications where - symbols are modulating carriers, which are solutions of linear differential equations with polynomial coefficients, - demodulations is achieved thanks to new algebraic estimation techniques. Operational calculus, differential algebra and nonstandard analysis are the main mathematical tools.

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Michel Fliess. 2007-12-12. Critique du rapport signal à bruit en théorie de l'information -- A critical appraisal of the signal to noise ratio in information theory. https://arxiv.org/abs/0712.1875

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